91Ó°ÊÓ

\(1-6=\) Show that the point is on the unit circle. $$ \left(-\frac{5}{7},-\frac{2 \sqrt{6}}{7}\right) $$

Find the exact value of the trigonometric function at the given real number. $$ \begin{array}{llll}{\text { (a) } \sin \frac{5 \pi}{6}} & {\text { (b) } \cos \frac{5 \pi}{6}} & {\text { (c) } \tan \frac{5 \pi}{6}}\end{array} $$

The given function models the displacement of an object moving in simple harmonic motion. (a) Find the amplitude, period, and frequency of the motion. (b) Sketch a graph of the displacement of the object over one complete period. $$y=2.4 \sin 3.6 t$$

Graph the function. $$ f(x)=2-\cos x $$

\(1-6=\) Show that the point is on the unit circle. $$ \left(-\frac{\sqrt{5}}{3}, \frac{2}{3}\right) $$

The given function models the displacement of an object moving in simple harmonic motion. (a) Find the amplitude, period, and frequency of the motion. (b) Sketch a graph of the displacement of the object over one complete period. $$y=-0.25 \cos \left(1.5 t-\frac{\pi}{3}\right)$$

Find the exact value of the trigonometric function at the given real number. $$ \begin{array}{llll}{\text { (a) } \sin \frac{7 \pi}{6}} & {\text { (b) } \sin \left(-\frac{\pi}{6}\right)} & {\text { (c) } \sin \frac{11 \pi}{6}}\end{array} $$

Graph the function. $$ f(x)=-2+\sin x $$

\(1-6=\) Show that the point is on the unit circle. $$ \left(\frac{\sqrt{11}}{6}, \frac{5}{6}\right) $$

Find the exact value of the trigonometric function at the given real number. $$ \begin{array}{llll}{\text { (a) } \cos \frac{5 \pi}{3}} & {\text { (b) } \cos \left(-\frac{5 \pi}{3}\right)} & {\text { (c) } \cos \frac{7 \pi}{3}}\end{array} $$